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Tatiana [17]
2 years ago
6

Need help with volume !!

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
5 0

Answer:

16m

Step-by-step explanation:

4 x 2 = 8
8 x 2 = 16

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Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isot
Andrews [41]

Answer:

The approximate difference in the half-lives of the isotopes is 66 days.

Step-by-step explanation:

The decay of an isotope is represented by the following differential equation:

\frac{dm}{dt} = -\frac{t}{\tau}

Where:

m - Current mass of the isotope, measured in kilograms.

t - Time, measured in days.

\tau - Time constant, measured in days.

The solution of the differential equation is:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where m_{o} is the initial mass of the isotope, measure in kilograms.

Now, the time constant is cleared:

\ln \frac{m(t)}{m_{o}} = -\frac{t}{\tau}

\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }

The half-life of a isotope (t_{1/2}) as a function of time constant is:

t_{1/2} = \tau \cdot \ln2

t_{1/2} = -\left(\frac{t}{\ln\frac{m(t)}{m_{o}} }\right) \cdot \ln 2

The half-life difference between isotope B and isotope A is:

\Delta t_{1/2} = \left| -\left(\frac{t_{A}}{\ln \frac{m_{A}(t)}{m_{o,A}} } \right)\cdot \ln 2+\left(\frac{t_{B}}{\ln \frac{m_{B}(t)}{m_{o,B}} } \right)\cdot \ln 2\right|

If \frac{m_{A}(t)}{m_{o,A}} = \frac{m_{B}(t)}{m_{o,B}} = 0.9, t_{A} = 33\,days and t_{B} = 43\,days, the difference in the half-lives of the isotopes is:

\Delta t_{1/2} = \left|-\left(\frac{33\,days}{\ln 0.90} \right)\cdot \ln 2 + \left(\frac{43\,days}{\ln 0.90} \right)\cdot \ln 2\right|

\Delta t_{1/2} \approx 65.788\,days

The approximate difference in the half-lives of the isotopes is 66 days.

4 0
3 years ago
Read 2 more answers
Please answer this question Please Thank you have a nice day
sp2606 [1]

Answer:

17t+9

Step-by-step explanation:

3 0
2 years ago
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The length of a ribbon is 3/4 meter. Sun Yi needs piece measuring 1/3 meter for an art project. What is the greatest number of P
Step2247 [10]

3/4 divided by 1/3 = 3/4 * 3/1 = 9/4 = 2 1/4   <-------reason

Sun Yi can cut out 2 pieces.

Sun Yi will have 1/4 left.

7 0
3 years ago
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Help with 19, 19a, and 19b please
Nina [5.8K]
The answer to 19b is 35

i’m sorry i don’t know part A
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At a sale this week, a sofa is being sold for $555. This is a 26% discount from the original price. What is the original price?
vlabodo [156]
Divide 555/.26 & you’ll get your original price
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